113215179772800 has 2304 divisors, whose sum is σ = 492305660421120. Its totient is φ = 25157512396800.

The previous prime is 113215179772567. The next prime is 113215179772843. The reversal of 113215179772800 is 8277971512311.

It is a happy number.

113215179772800 is a `hidden beast` number, since 1 + 1 + 32 + 1 + 517 + 9 + 77 + 28 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 28212103594 + ... + 28212107606.

It is an arithmetic number, because the mean of its divisors is an integer number (213674331780).

Almost surely, 2^{113215179772800} is an apocalyptic number.

113215179772800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113215179772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246152830210560).

113215179772800 is an abundant number, since it is smaller than the sum of its proper divisors (379090480648320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113215179772800 is an equidigital number, since it uses as much as digits as its factorization.

113215179772800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4203 (or 4174 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 54.

The spelling of 113215179772800 in words is "one hundred thirteen trillion, two hundred fifteen billion, one hundred seventy-nine million, seven hundred seventy-two thousand, eight hundred".